When I started shooting Fiberglass arrows might have been around. For sure almost everyone shot woodies.
I had a fling with aluminum arrows for several years. I've always shot woodies even when playing with others. I heard how tough carbons are & tried them for awhile. Picked up a few carbon splinters along the way fooling with them.
Let me share a few observations from my use of these arrows.
I've found carbons to be tough as long as you don't hit with a glancing shot or a really tough old stump straight on. The carbon will invariably shove the insert down into the shaft from a straight on hit on a tough stump turning the shaft into a reasonable copy of a peeled banana. They will usually shatter from a glancing hit.
The aluminum arrow will bend from a glancing hit & from a straight on hit on a tough old stump will also shove the insert back into the shaft. This usually will not ruin the arrow unlike the carbon. It will bulge it & I wouldn't hunt with it, but most times it's still usable for practice.
Both are NOISY, the slightest bump on your bow when putting an arrow on the string will give off a loud clank.
Wooden arrows I've found will hold up almost as well as aluminums or carbons. They won't shatter with a straight on hit on a tough stump & I've hit my share. What may happen if you don't have the taper on the shaft touching the forward taper on the blunt is the point is shoved back onto the shaft a bit. I've had this happen & trimmed the wood feathers this caused & gone right on using that arrow. They might also shatter with a glancing hit, but not always. I feel a good wood arrow is every bit as tough as an aluminum or carbon shaft. All I shoot are woodies now.
Others may disagree, but these are my experiences.